Earlier quoted context omitted.
How does pret a voter protect voter privacy in a voter pool (precinct) of 400 with a ballot containing 30 issues. Go ahead, work it out for yourself, manually, like I did. I'll wait.
The premise of whatever it was that you were manually working out was that "all crypto based systems rely on hash collisions to protect voter privacy". Again, pray tell, how does Pret a Voter rely on hash collisions?
You're right, of course. I conflated Pret a Voter with another hare brained scheme: Chaum's Punchscan, which at least makes a token attempt to protect voter privacy. My apologies. (It's been a few years since I studied this nonsense.)
Pret a voter does not throw information away (a la secure one-way hash), it merely obfuscates the process. It's just a more fancy kabuki.